Q. The moment of inertia of a thin rod about an axis perpendicular to its length and passing through its end is?

एक पतली छड़ की लंबाई के लंबवत तथा उसके सिरे से गुजरने वाली धुरी के परितः जड़त्व आघूर्ण क्या है?

A
(1/3)ML²
(1/3)एमएल²
B
(1/12)ML²
(1/12)एमएल²
C
(1/2)ML²
(1/2)एमएल²
D
(1/4)ML²
(1/4)एमएल²

Explanation

For a thin uniform rod of mass MM and length LL rotating about an axis perpendicular to the rod and passing through one end, the moment of inertia is:

I=13ML2

This is derived using integration or by applying the parallel axis theorem to the center-axis moment of inertia.

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